Advanced Calculus : : Differential Calculus and Stokes' Theorem / / Pietro-Luciano Buono.

• Superior document: Title is part of eBook package: De Gruyter DG Plus eBook-Package 2016
• VerfasserIn: Buono, Pietro-Luciano,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2016]; ©2016
• Year of Publication: 2016
• Language: English
• Series: De Gruyter Textbook
• Physical Description: 1 online resource (X, 303 p.)
• Other title: Frontmatter --; Contents --; Preface --; 1. Introduction --; 2. Calculus of Vector Functions --; 3. Tangent Spaces and 1-forms --; 4. Line Integrals --; 5. Differential Calculus of Mappings --; 6. Applications of Differential Calculus --; 7. Double and Triple Integrals --; 8. Wedge Products and Exterior Derivatives --; 9. Integration of Forms --; 10. Stokes’ Theorem and Applications --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110438222; 9783110701005; 9783110485103; 9783110485288
• DOI: 10.1515/9783110438222
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Pietro-Luciano Buono.

This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green’s, Stokes’ and Gauss’ theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents:Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes’ Theorem and Applications